Optical image system

ABSTRACT

An optical image system includes, in order from an object side to an image side, the first lens element with positive refractive power having a convex object-side surface; the second lens element with refractive power; the third lens element with positive refractive power having at least one surface being aspheric; the fourth lens element with refractive power having a concave object-side surface and a convex image-side surface, wherein at least one surface thereof element is aspheric; the fifth lens element with positive refractive power having a convex image-side surface; and the sixth lens element with negative refractive power made of plastic material and having a concave image-side surface, wherein at least one surface thereof is aspheric, and the image-side surface thereof changes from concave at a paraxial region to convex at a peripheral region.

RELATED APPLICATIONS

The application claims priority to Taiwan Application Serial Number101108104, filed Mar. 9, 2012, which is herein incorporated byreference.

BACKGROUND

1. Technical Field

The present invention relates to an optical image system. Moreparticularly, the present invention relates to a compact optical imagesystem applicable to electronic products.

2. Description of Related Art

In recent years, with the popularity of mobile products with camerafunctionalities, the demand for miniaturizing an optical lens system isincreasing. The sensor of a conventional photographing camera istypically a CCD (Charge-Coupled Device) or a CMOS (ComplementaryMetal-Oxide-Semiconductor) sensor. As advanced semiconductormanufacturing technologies have allowed the pixel size of sensors to bereduced and compact optical lens systems have gradually evolved towardthe field of higher megapixels, there is an increasing demand forcompact optical lens systems featuring better image quality.

A conventional compact optical lens system employed in a portableelectronic product mainly adopts a five-element lens structure. Due tothe popularity of mobile products with high-end specifications, such assmart phones and PDAs (Personal Digital Assistants), the pixel andmage-quality requirements of the compact optical lens system haveincreased rapidly. However, the conventional five-element lens structurecannot satisfy the requirements of the compact optical lens system.Therefore, a need exists in the art for providing an optical lens systemfor use in a mobile electronic product that has excellent imagingquality without excessive total track length.

SUMMARY

According to one aspect of the present disclosure, an optical imagesystem includes, in order from an object side to an image side, a firstlens element, a second lens element, a third lens element, a fourth lenselement, a fifth lens element and a sixth lens element. The first lenselement with positive refractive power has a convex object-side surface.The second lens element has refractive power. The third lens elementwith positive refractive power has at least one of an object-sidesurface and an image-side surface being aspheric. The fourth lenselement with refractive power has a concave object-side surface and aconvex image-side surface, wherein at least one of the object-sidesurface and the image-side surface of the fourth lens element isaspheric. The fifth lens element with positive refractive power has aconvex image-side surface. The sixth lens element with negativerefractive power is made of plastic material and has a concaveimage-side surface, wherein at least one of an object-side surface andthe image-side surface of the sixth lens element is aspheric, and theimage-side surface of the sixth lens element changes from concave at aparaxial region to convex at a peripheral region. When a focal length ofthe optical image system is f, a focal length of the first lens elementis f1, a focal length of the second lens element is f2, and a focallength of the third lens element is f3, the following relationships aresatisfied:0<f/f1+|f/f2|<1.35; and0<f3/f1<2.0.

According to another aspect of the present disclosure, an optical imagesystem includes, in order from an object side to an image side, a firstlens element, a second lens element, a third lens element, a fourth lenselement, a fifth lens element and a sixth lens element. The first lenselement with positive refractive power has a convex object-side surface.The second lens element has refractive power. The third lens elementwith positive refractive power has at least one of an object-sidesurface and an image-side surface being aspheric. The fourth lenselement with negative refractive power has a concave object-side surfaceand a convex image-side surface, wherein at least one of the object-sidesurface and the image-side surface of the fourth lens element isaspheric. The fifth lens element with positive refractive power has aconvex image-side surface. The sixth lens element with negativerefractive power is made of plastic material and has a concaveimage-side surface, wherein at least one of an object-side surface andthe image-side surface of the sixth lens element is aspheric, and theimage-side surface of the sixth lens element changes from concave at aparaxial region to convex at a peripheral region. When a focal length ofthe optical image system is f, a focal length of the first lens elementis f1, a focal length of the third lens element is f3, and a focallength of the fourth lens element is f4, the following relationships aresatisfied:0<f3/f1<2.0; and1.0<f/f3+|f/f4|<2.7.

According to further another aspect of the present disclosure, anoptical image system includes, in order from an object side to an imageside, a first lens element, a second lens element, a third lens element,a fourth lens element, a fifth lens element and a sixth lens element.The first lens element with positive refractive power has a convexobject-side surface. The second lens element has refractive power. Thethird lens element with positive refractive power has at least one of anobject-side surface and an image-side surface being aspheric. The fourthlens element with refractive power has a concave object-side surface anda convex image-side surface, wherein at least one of the object-sidesurface and the image-side surface of the fourth lens element isaspheric. The fifth lens element with positive refractive power has aconvex image-side surface. The sixth lens element with negativerefractive power is made of plastic material and has a concaveimage-side surface, wherein at least one of an object-side surface andthe image-side surface of the sixth lens element is aspheric, and theimage-side surface of the sixth lens element changes from concave at aparaxial region to convex at a peripheral region. When a focal length ofthe optical image system is f, a focal length of the first lens elementis f1, a focal length of the second lens element is f2, a focal lengthof the third lens element is f3, and a focal length of the fourth lenselement is f4, the following relationships are satisfied:0<f/f1+|f/f2|<1.35; and1.0<f/f3+|f/f4|<2.7.

According to yet another aspect of the present disclosure, an opticalimage system includes, in order from an object side to an image side, afirst lens element, a second lens element, a third lens element, afourth lens element, a fifth lens element and a sixth lens element. Thefirst lens element with positive refractive power has a convexobject-side surface. The second lens element has refractive power. Thethird lens element with positive refractive power has at least one of anobject-side surface and an image-side surface being aspheric. The fourthlens element with negative refractive power has a concave object-sidesurface and a convex image-side surface, wherein at least one of theobject-side surface and the image-side surface of the fourth lenselement is aspheric. The fifth lens element with positive refractivepower has a convex image-side surface. The sixth lens element withnegative refractive power is made of plastic material and has a concavemage-side surface, wherein at least one of an object-side surface andthe image-side surface of the sixth lens element id aspheric, and theimage-side surface of the sixth lens element changes from concave at aparaxial region to convex at a peripheral region. When a focal length ofthe first lens element is f1, and a focal length of the third lenselement is f3, the following relationship is satisfied:0<f3/f1<2.0.

BRIEF DESCRIPTION OF THE DRAWINGS

The invention can be more fully understood by reading the followingdetailed description of the embodiment, with reference made to theaccompanying drawings as follows:

FIG. 1 is a schematic view of an optical image system according to the1st embodiment of the present disclosure;

FIG. 2 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 1stembodiment;

FIG. 3 is a schematic view of an optical image system according to the2nd embodiment of the present disclosure;

FIG. 4 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 2ndembodiment;

FIG. 5 is a schematic view of an optical image system according to the3rd embodiment of the present disclosure;

FIG. 6 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 3rdembodiment;

FIG. 7 is a schematic view of an optical image system according to the4th embodiment of the present disclosure;

FIG. 8 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 4thembodiment;

FIG. 9 is a schematic view of an optical image system according to the5th embodiment of the present disclosure;

FIG. 10 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 5thembodiment;

FIG. 11 is a schematic view of an optical image system according to the6th embodiment of the present disclosure;

FIG. 12 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 6thembodiment;

FIG. 13 is a schematic view of an optical image system according to the7th embodiment of the present disclosure;

FIG. 14 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 7thembodiment;

FIG. 15 is a schematic view of an optical image system according to the8th embodiment of the present disclosure;

FIG. 16 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 8thembodiment;

FIG. 17 is a schematic view of an optical image system according to the9th embodiment of the present disclosure;

FIG. 18 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 9thembodiment;

FIG. 19 is a schematic view of an optical image system according to the10th embodiment of the present disclosure; and

FIG. 20 shows spherical aberration curves, astigmatic field curves and adistortion curve of the optical image system according to the 10thembodiment.

DETAILED DESCRIPTION

An optical image system includes, in order from an object side to animage side, a first lens element, a second lens element, a third lenselement, a fourth lens element, a fifth lens element and a sixth lenselement. The optical image system further includes an image sensorlocated on an image plane.

The first lens element with positive refractive power provides properpositive refractive power for the optical image system and the firstlens element has a convex object-side surface can adjust the positiverefractive power of the first lens element for reducing the total tracklength of the optical image system.

The second lens element with negative refractive power can correct theaberration generated from the first lens element with positiverefractive power.

The third lens element has positive refractive power for balancing thedistribution of the positive refractive power of the first lens element,so that the sensitivity of the optical image system can be reduced.

The fourth lens element with negative refractive power has a concaveobject-side surface and a convex image-side surface, so that theaberration and the astigmatism of the optical image system can becorrected.

The fifth lens element with positive refractive power provides mainpositive refractive power for the optical image system. The fifth lenselement has a convex mage-side surface, so that the high orderaberration of the optical image system can be corrected for enhancingthe resolving power of the optical image system, then retaining theimage quality.

The sixth lens element with negative refractive power has a concaveimage-side surface, so that the principal point of the optical imagesystem can be positioned away from the image plane, and the total tracklength of the optical image system can be reduced so as to maintain thecompact size of the optical image system. The image-side surface of thesixth lens element changes from concave at the paraxial region to convexat the peripheral region, so that the high order aberration of theoptical image system can be corrected, and the incident angle of theoff-axis field on the image sensor can be effectively reduced, and theaberration of the off-axis field can be corrected.

When a focal length of the optical image system is f, a focal length ofthe first lens element is f1, and a focal length of the second lenselement is f2, the following relationship is satisfied:0<f/f1+|f/f2|<1.35.

Therefore, when the second lens element has negative refractive power,the aberration generated from the first lens element can be corrected;when the second lens element has positive refractive power, thedistribution of the positive refractive power of the optical imagesystem can be balanced.

When the focal length of the first lens element is f1, and a focallength of the third lens element is f3, the following relationship issatisfied:0<f3/f1<2.0.

Therefore, the distribution of the refractive power of the first lenselement and the third lens element can reduce the sensitivity of theoptical image system. Furthermore, the aberration generated from theexcessive curvature of the first lens element and the third lens elementcan be reduced, and the spherical aberration of the optical image systemcan be corrected for enhancing the image quality.

f3 and f1 can further satisfy the following relationship:0<f3/f1<1.6.

When the focal length of the optical image system is f, and a curvatureradius of the object-side surface of the fourth lens element is R7, thefollowing relationship is satisfied:−2.5<R7/f<0

Therefore, the aberration of the optical image system can be correctedby adjusting the curvature of the object-side surface of the fourth lenselement.

R7 and f can further satisfy the following relationship:−0.6<R7/f<0.

When an Abbe number of the fourth lens element is V4, and an Abbe numberof the fifth lens element is V5, the following relationship issatisfied:1.5<V5/V4<3.0.

Therefore, the chromatic aberration of the optical image system can becorrected.

When the focal length of the optical image system is f, the focal lengthof the third lens element is f3, and a focal length of the fourth lenselement is f4, the following relationship is satisfied:1.0<f/f3+|f/f4|<2.7.

Therefore, the refractive power of the third lens element and the fourthlens element are proper, so that the aberration of the optical imagesystem can be corrected and the sensitivity of the optical image systemcan be reduced.

When a half of the maximal field of view of the optical image system isHFOV, the following relationship is satisfied:35 degrees<HFOV<50 degrees.

The distortion of the peripheral region of the image would be severe dueto the excessive field of view, and the functional range of the capturedimage would be restricted due to the insufficient field of view.Therefore, the proper field of view of the optical image system canprovide the proper range of the captured image while avoiding theexcessive distortion.

When a sum of the central thickness from the first through sixth lenselements is ΣCT and an axial distance between the object-side surface ofthe first lens element and the image-side surface of the sixth lenselement is TD, the following relationship is satisfied:0.62<ΣCT/TD<0.88.

Therefore, the thickness of the lens elements are proper for increasingthe fabricated yield of the optical image system, and the total tracklength of the optical image system can be reduced so as to maintain thecompact size of the optical image system.

When an axial distance between the object-side surface of the first lenselement and an image plane is TTL, and a maximum image height of theoptical image system is ImgH, the following relationship is satisfied:TTL/ImgH<2.0.

Therefore, the optical image system with a short total track length canmaintain the compact size for portable electronic products.

According to the optical image system of the present disclosure, thelens elements thereof can be made of glass or plastic material. When thelens elements are made of glass material, the distribution of therefractive power of the optical image system may be more flexible todesign. When the lens elements are made of plastic material, the cost ofmanufacture can be effectively reduced. Furthermore, surfaces of eachlens element can be aspheric, so that it is easier to make the surfacesinto non-spherical shapes. As a result, more controllable variables areobtained, and the aberration is reduced, as well as the number ofrequired lens elements can be reduced while constructing an opticalsystem. Therefore, the total track length of the optical image systemcan also be reduced.

According to the optical image system of the present disclosure, whenthe lens element has a convex surface, it indicates that the paraxialregion of the surface is convex; and when the lens element has a concavesurface, it indicates that the paraxial region of the surface isconcave.

According to the optical image system of the present disclosure, theoptical image system can include at least one stop, such as an aperturestop, a glare stop, or a field stop, etc. Said glare stop or said fieldstop is allocated for reducing stray light while retaining high imagequality. Furthermore, when a stop is an aperture stop, the position ofthe aperture stop within an optical system can be arbitrarily placed infront of the entire lens assembly, within the lens assembly, or in frontof the image plane in accordance with the preference of an opticaldesigner, in order to achieve the desirable optical features or higherimage quality produced from the optical system.

According to the above description of the present disclosure, thefollowing 1st-10th specific embodiments are provided for furtherexplanation.

1st Embodiment

FIG. 1 is a schematic view of an optical image system according to the1st embodiment of the present disclosure. FIG. 2 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 1st embodiment. In FIG. 1, theoptical image system includes, in order from an object side to an imageside, an aperture stop 100, a first lens element 110, a second lenselement 120, a third lens element 130, a fourth lens element 140, afifth lens element 150, a sixth lens element 160, an IR-cut filter 180,an image plane 170 and an image sensor 190.

The first lens element 110 with positive refractive power has a convexobject-side surface 111 and a concave image-side surface 112. The firstlens element 110 is made of plastic material and has the object-sidesurface 111 and the image-side surface 112 being aspheric.

The second lens element 120 with negative refractive power has a convexobject-side surface 121 and a concave image-side surface 122. The secondlens element 120 is made of plastic material and has the object-sidesurface 121 and the image-side surface 122 being aspheric.

The third lens element 130 with positive refractive power has a convexobject-side surface 131 and a convex image-side surface 132. The thirdlens element 130 is made of plastic material and has the object-sidesurface 131 and the image-side surface 132 being aspheric.

The fourth lens element 140 with negative refractive power has a concaveobject-side surface 141 and a convex image-side surface 142. The fourthlens element 140 is made of plastic material and has the object-sidesurface 141 and the image-side surface 142 being aspheric.

The fifth lens element 150 with positive refractive power has a convexobject-side surface 151 and a convex image-side surface 152. The fifthlens element 150 is made of plastic material and has the object-sidesurface 151 and the image-side surface 152 being aspheric.

The sixth lens element 160 with negative refractive power has a convexobject-side surface 161 and a concave image-side surface 162. The sixthlens element 160 is made of plastic material and has the object-sidesurface 161 and the image-side surface 162 being aspheric. Furthermore,the image-side surface 162 of the sixth lens element 160 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 180 is made of glass, and located between the sixthlens element 160 and the image plane 170, and will not affect the focallength of the optical image system.

The equation of the aspheric surface profiles of the aforementioned lenselements of the 1st embodiment is expressed as follows:

${{X(Y)} = {{\left( {Y^{2}\text{/}R} \right)\text{/}\left( {1 + {{sqrt}\left( {1 - {\left( {1 + k} \right) \times \left( {Y\text{/}R} \right)^{2}}} \right)}} \right)} + {{\underset{i}{\Sigma}({Ai})} \times \left( Y^{1} \right)}}},$wherein,

X is the distance between a point on the aspheric surface spaced at adistance Y from the optical axis and the tangential plane at theaspheric surface vertex on the optical axis;

Y is the distance from the point on the curve of the aspheric surface tothe optical axis;

R is the curvature radius;

k is the conic coefficient; and

Ai is the i-th aspheric coefficient.

In the optical image system according to the 1st embodiment, when afocal length of the optical image system is f, an f-number of theoptical image system is Fno, and half of the maximal field of view ofthe optical image system is HFOV, these parameters have the followingvalues.

f=2.79 mm;

Fno=2.45; and

HFOV=45.0 degrees.

In the optical image system according to the 1st embodiment, when anAbbe number of the fourth lens element 140 is V4, and an Abbe number ofthe fifth lens element 150 is V5, the following relationship issatisfied:V5/V4=2.40.

In the optical image system according to the 1st embodiment, when a sumof the central thickness from the first through sixth lens elements(110-160) is ΣCT, and an axial distance between the object-side surface111 of the first lens element 110 and the image-side surface 162 of thesixth lens element 160 is TD, the following relationship is satisfied:ΣCT/TD=0.08.

In the optical image system according to the 1st embodiment, when thefocal length of the optical image system is f, and a curvature radius ofthe object-side surface 141 of the fourth lens element 140 is R7, thefollowing relationship is satisfied:R7/f=−0.21.

In the optical image system according to the 1st embodiment, when thefocal length of the optical image system is f, a focal length of thefirst lens element 110 is f1, a focal length of the second lens element120 is f2, a focal length of the third lens element 130 is f3, and afocal length of the fourth lens element 140 is f4, the followingrelationships are satisfied:f/f1+|f/f2|=0.45;f/f3+|f/f4|=1.92; andf3/f1=0.38.

In the optical image system according to the 1st embodiment, when anaxial distance between the object-side surface 111 of the first lenselement 110 and the image plane 170 is TTL and a maximum image height ofthe optical image system is ImgH which here is a half of the diagonallength of the photosensitive area of the image sensor 190 on the imageplane 170, the following relationship is satisfied:TTL/ImgH=1.47.

The detailed optical data of the 1st embodiment are shown in Table 1 andthe aspheric surface data are shown in Table 2 below.

TABLE 1 1st Embodiment f = 2.79 mm, Fno = 2.45, HFOV = 45.0 deg. Surface# Curvature Radius Thickness Material index Abbe # Focal length 0 ObjectPlano Infinity 1 Ape. Stop Plano −0.070 2 Lens 1  1.995 (ASP) 0.325Plastic 1.544 55.9 8.13 3  3.426 (ASP) 0.092 4 Lens 2  1.870 (ASP) 0.240Plastic 1.640 23.3 −27.31 5  1.605 (ASP) 0.162 6 Lens 3  2.913 (ASP)0.535 Plastic 1.544 55.9 3.06 7 −3.622 (ASP) 0.244 8 Lens 4 −0.596 (ASP)0.240 Plastic 1.640 23.3 −2.79 9 −1.036 (ASP) 0.050 10 Lens 5  4.902(ASP) 0.610 Plastic 1.544 55.9 1.62 11 −1.029 (ASP) 0.050 12 Lens 6 1.677 (ASP) 0.400 Plastic 1.544 55.9 −2.30 13  0.655 (ASP) 0.500 14IR-cut filter Plano 0.300 Glass 1.517 64.2 — 15 Plano 0.529 16 ImagePlano — Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 2 Aspheric Coefficients Surface # 2 3 4 5 6 7 k =  6.2064E−01−9.9561E+00 −6.5676E+00 −8.0737E+00 −1.3337E+00 −2.2546E+01 A4 =−2.9608E−03 −1.8309E−01 −3.2911E−01 −1.7576E−01 −1.4804E−01 −3.2845E−02A6 =  3.7665E−02  4.5425E−01  5.9504E−01  3.0653E−01 −2.1157E−02−1.7725E−01 A8 = −4.5767E−02 −7.7023E−01 −8.9569E−01 −4.2416E−01 7.5048E−02  3.6802E−02 A10 = −4.9839E−01 −7.9717E−01 −2.7979E−01 1.5299E−03 −1.4045E−01 −1.0044E−02 A12 =  2.0282E+00  6.6948E−01 1.4441E−02 −2.9656E−01 −1.6712E−01 −1.1397E−02 A14 = −3.6199E+00−3.4242E−01 −1.9141E+00  1.2347E−01  2.1664E−02  2.6843E−02 Surface # 89 10 11 12 13 k = −2.1428E+00 −3.2913E+00 −2.2625E−01 −6.4754E+00−1.0636E+01 −4.3436E+00 A4 =  3.8140E−01  1.5773E−01 −1.7199E−01−3.4326E−02 −1.1205E−01 −8.8015E−02 A6 = −8.5520E−01 −2.6508E−01 1.8244E−01  5.4860E−03  3.2206E−02  2.8413E−02 A8 =  1.1576E+00 3.3332E−01 −9.1689E−02  1.0442E−01 −5.7945E−03 −6.9472E−03 A10 =−9.1411E−01 −2.3855E−01  1.2349E−02 −8.6537E−02  4.1627E−04  1.0070E−03A12 =  5.9578E−01   1.3300E−01  6.7585E−04  2.5923E−02  1.2805E−04−1.3520E−04 A14 = −2.2679E−01 −3.6577E−02  5.7344E−05 −2.7594E−03−2.0075E−05  1.1780E−05

In Table 1, the curvature radius, the thickness and the focal length areshown in millimeters (mm). Surface numbers 0-16 represent the surfacessequentially arranged from the object-side to the image-side along theoptical axis. In Table 2, k represents the conic coefficient of theequation of the aspheric surface profiles. A1-A14 represent the asphericcoefficients ranging from the 1st order to the 14th order. Thisinformation related to Table 1 and Table 2 applies also to the Tablesfor the remaining embodiments, and so an explanation in this regard willnot be provided again.

2nd Embodiment

FIG. 3 is a schematic view of an optical image system according to the2nd embodiment of the present disclosure. FIG. 4 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 2nd embodiment. In FIG. 3, theoptical image system includes, in order from an object side to an imageside, an aperture stop 200, a first lens element 210, a second lenselement 220, a third lens element 230, a fourth lens element 240, afifth lens element 250, a sixth lens element 260, an IR-cut filter 280,an image plane 270 and an image sensor 290.

The first lens element 210 with positive refractive power has a convexobject-side surface 211 and a convex image-side surface 212. The firstlens element 210 is made of plastic material and has the object-sidesurface 211 and the image-side surface 212 being aspheric.

The second lens element 220 with negative refractive power has a convexobject-side surface 221 and a concave image-side surface 222. The secondlens element 220 is made of plastic material and has the object-sidesurface 221 and the image-side surface 222 being aspheric.

The third lens element 230 with positive refractive power has a convexobject-side surface 231 and a convex image-side surface 232. The thirdlens element 230 is made of plastic material and has the object-sidesurface 231 and the image-side surface 232 being aspheric.

The fourth lens element 240 with negative refractive power has a concaveobject-side surface 241 and a convex image-side surface 242. The fourthlens element 240 is made of plastic material and has the object-sidesurface 241 and the image-side surface 242 being aspheric.

The fifth lens element 250 with positive refractive power has a convexobject-side surface 251 and a convex image-side surface 252. The fifthlens element 250 is made of plastic material and has the object-sidesurface 251 and the image-side surface 252 being aspheric.

The sixth lens element 260 with negative refractive power has a convexobject-side surface 261 and a concave image-side surface 262. The sixthlens element 260 is made of plastic material and has the object-sidesurface 261 and the image-side surface 262 being aspheric. Furthermore,the image-side surface 262 of the sixth lens element 260 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 280 is made of glass, and located between the sixthlens element 260 and the image plane 270, and will not affect the focallength of the optical image system.

The detailed optical data of the 2nd embodiment are shown in Table 3 andthe aspheric surface data are shown in Table 4 below.

TABLE 3 2nd Embodiment f = 3.27 mm, Fno = 2.50, HFOV = 37.8 deg. Surface# Curvature Radius Thickness Material Index Abbe # Focal length 0 ObjectPlano Infinity 1 Ape. Stop Plano −0.055 2 Lens 1  2.839 (ASP) 0.384Plastic 1.544 55.9 4.84 3 −34.904 (ASP)  0.100 4 Lens 2  5.049 (ASP)0.251 Plastic 1.640 23.3 −11.12 5  2.895 (ASP) 0.154 6 Lens 3  6.193(ASP) 0.585 Plastic 1.544 55.9 5.17 7 −4.975 (ASP) 0.405 8 Lens 4 −0.978(ASP) 0.261 Plastic 1.640 23.3 −3.80 9 −1.805 (ASP) 0.050 10 Lens 5 5.501 (ASP) 0.761 Plastic 1.544 55.9 1.51 11 −0.921 (ASP) 0.088 12 Lens6  3.447 (ASP) 0.430 Plastic 1.544 55.9 −1.68 13  0.689 (ASP) 0.700 14IR-cut fitter Plano 0.300 Glass 1.517 64.2 — 15 Plano 0.385 16 ImagePlano — Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 4 Aspheric Coefficients Surface 2 3 4 5 6 7 k = −4.6131E+00 1.0000E+00 −1.4529E+00 −1.1402E+00  9.1498E−01  1.0000E+00 A4 =−5.1346E−03 −4.1140E−02 −2.2182E−01 −2.9462E−01 −1.9115E−01 −5.7057E−02A6 =  2.1835E−01  1.4079E−02  5.2109E−01  2.9669E−01 −3.8366E−02−1.5618E−01 A8 = −8.9151E−01  2.0928E−01 −1.2685E+00 −2.6672E−01 9.7293E−02  4.1068E−02 A10 =  7.6028E−01 −1.1346E+00  1.2051E+00 8.6264E−02 −9.8800E−02 −1.6683E−02 A12 =  2.0819E+00  6.8377E−01 2.0388E−02 −2.7060E−01 −1.0843E−01 −4.2395E−03 A14 = −3.6132E+00−2.4595E−01 −1.8529E+00  1.2493E−01  1.2559E−01  1.4445E−02 Surface # 89 10 11 12 13 k = −1.5933E+00 −2.8576E+00 −2.4883E+00 −5.3171E+00−2.0000E+01 −4.4562E+00 A4 =  3.5216E−01  1.1951E−01 −1.6304E−01−4.9893E−02 −1.2101E−01 −7.7847E−02 A6 = −8.9238E−01 −2.8261E−01 1.7002E−01 −8.7973E−03  3.6759E−42  2.6008E−02 A8 =  1.1122E+00 3.2869E−01 −9.5172E−02  1.0410E−01 −6.7267E−03 −6.8669E−03 A10 =−9.4430E−01 −2.4349E−01  1.5033E−02 −8.5626E−02  5.1874E−04  1.1516E−03A12 =  5.9484E−01  1.3300E−01  1.1006E−03  2.6126E−02  1.4360E−04−1.1549E−04 A14 = −1.7905E−01 −3.2710E−02 −2.4562E−04 −2.6663E−03−2.4339E−05  5.0679E−06

In the optical image system according to the 2nd embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ΣCT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 2nd embodiment. Moreover, these parameterscan be calculated from Table 3 and Table 4 as the following values andsatisfy the following relationships:

f (mm) 3.27 R7/f −0.30 Fno 2.50 f/f1 + |f/f2| 0.97 HFOV (deg.) 37.8f/f3 + |f/f4| 1.49 V5/V4 2.40 f3/f1 1.07 Σ CT/TD 0.77 TTL/ImgH 1.83

3rd Embodiment

FIG. 5 is a schematic view of an optical image system according to the3rd embodiment of the present disclosure FIG. 6 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 3rd embodiment. In FIG. 5, theoptical image system includes, in order from an object side to an mageside, an aperture stop 300, a first lens element 310, a second lenselement 320, a third lens element 330, a fourth lens element 340, afifth lens element 350, a sixth lens element 360, an IR-cut filter 380,an image plane 370 and an image sensor 390.

The first lens element 310 with positive refractive power has a convexobject-side surface 311 and a concave image-side surface 312. The firstlens element 310 is made of plastic material and has the object-sidesurface 311 and the image-side surface 312 being aspheric.

The second lens element 320 with negative refractive power has a concaveobject-side surface 321 and a concave image-side surface 322. The secondlens element 320 is made of plastic material and has the object-sidesurface 321 and the image-side surface 322 being aspheric.

The third lens element 330 with positive refractive power has a convexobject-side surface 331 and a convex image-side surface 332. The thirdlens element 330 is made of plastic material and has the object-sidesurface 331 and the image-side surface 332 being aspheric.

The fourth lens element 340 with negative refractive power has a concaveobject-side surface 341 and a convex image-side surface 342. The fourthlens element 340 is made of plastic material and has the object-sidesurface 341 and the image-side surface 342 being aspheric.

The fifth lens element 350 with positive refractive power has a convexobject-side surface 351 and a convex image-side surface 352. The fifthlens element 350 is made of plastic material and has the object-sidesurface 351 and the image-side surface 352 being aspheric.

The sixth lens element 360 with negative refractive power has a convexobject-side surface 361 and a concave image-side surface 362. The sixthlens element 360 is made of plastic material and has the object-sidesurface 361 and the image-side surface 362 being aspheric. Furthermore,the image-side surface 362 of the sixth lens element 360 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 380 is made of glass, and located between the sixthlens element 360 and the image plane 370, and will not affect the focallength of the optical image system.

The detailed optical data of the 3rd embodiment are shown in Table 5 andthe aspheric surface data are shown in Table 6 below

TABLE 5 3rd Embodiment f = 3.07 mm, Fno = 2.25, HFOV = 42.0 deg. Surface# Curvature Radius Thickness Material Index Abbe # Focal length 0 ObjectPlano Infinity 1 Ape. Stop Plano −0.097 2 Lens 1 2.044 (ASP) 0.391Plastic 1.544 55.9 4.78 3 8.896 (ASP) 0.144 4 Lens 2 −40.716 (ASP) 0.240 Plastic 1.650 21.4 −12.14 5 9.801 (ASP) 0.115 6 Lens 3 3.745 (ASP)0.466 Plastic 1.544 55.9 4.87 7 −8.681 (ASP)  0.358 8 Lens 4 −0.764(ASP)  0.240 Plastic 1.650 21.4 −3.61 9 −1.272 (ASP)  0.050 10 Lens 54.231 (ASP) 0.820 Plastic 1.535 56.3 1.55 11 −0.957 (ASP)  0.141 12 Lens6 2.850 (ASP) 0.359 Plastic 1.535 56.3 −1.77 13 0.678 (ASP) 0.700 14IR-cut filter Plano 0.200 Glass 1.517 64.2 — 15 Plano 0.353 16 ImagePlano — Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 6 Aspheric Coefficients Surface # 2 3 4 5 6 7 k = −2.3248E+00−7.1896E−01 −1.0000E+00 −1.0000E+00 −2.9829E+01 −8.9756E−02 A4 =5.2927E−03 −6.3827E−02 −1.5463E−01 −2.5645E−01 −1.7796E−01 −2.5449E−02A6 = 2.1309E−01 4.3596E−02 5.5086E−01 3.8028E−01 8.9247E−04 −1.7415E−01A8 = −9.8985E−01 3.0858E−01 −1.1478E+00 −2.4809E−01 8.4462E−024.2580E−02 A10 = 1.0093E+00 −1.2847E+00 1.0977E+00 2.8530E−02−1.4847E−01 −2.8959E−03 A12 = 2.0282E+00 6.6948E−01 1.4439E−02−2.7697E−01 −1.1046E−01 −1.0789E−03 A14 = −3.6199E+00 −3.4242E−01−1.9141E+00 1.1117E−01 1.2588E−01 2.1627E−03 Surface # 8 9 10 11 12 13 k= −1.7363E+00 −2.9026E+00 −8.0800E−01 −5.7893E+00 −3.0000E+01−4.3731E+00 A4 = 3.5816E−01 1.3220E−01 −1.6181E−01 −6.7853E−02−1.2481E−01 −7.7240E−02 A6 = −8.8064E−01 −2.7580E−01 1.7030E−01−8.8065E−04 3.3720E−02 2.3724E−02 A8 = 1.1289E+00 3.2915E−01 −9.2404E−021.0513E−01 −6.1272E−03 −6.1096E−03 A10 = −9.2844E−01 −2.4342E−011.4996E−02 −8.6056E−02 5.6024E−04 1.1147E−03 A12 = 5.9843E−01 1.3126E−018.2524E−04 2.5943E−02 1.8549E−04 −1.3024E−04 A14 = −1.9897E−01−3.2310E−02 −4.4294E−04 −2.7224E−03 −3.5109E−05 6.9135E−06

In the optical image system according to the 3rd embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ΣCT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 3rd embodiment. Moreover, these parameterscan be calculated from Table 5 and Table 6 as the following values andsatisfy the following relationships:

f (mm) 3.07 R7/f −0.25 Fno 2.25 f/f1 + |f/f2| 0.90 HFOV (deg.) 42.0f/f3 + |f/f4| 1.48 V5/V4 2.63 f3/f1 1.02 Σ CT/TD 0.76 TTL/ImgH 1.59

4th Embodiment

FIG. 7 is a schematic view of an optical image system according to the4th embodiment of the present disclosure. FIG. 8 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 4th embodiment. In FIG. 7, theoptical image system includes, in order from an object side to an imageside, an aperture stop 400, a first lens element 410, a second lenselement 420, a third lens element 430, a fourth lens element 440, afifth lens element 450, a sixth lens element 460 an IR-cut filter 480,an image plane 470 and an image sensor 490.

The first lens element 410 with positive refractive power has a convexobject-side surface 411 and a concave image-side surface 412. The firstlens element 410 is made of plastic material and has the object-sidesurface 411 and the image-side surface 412 being aspheric.

The second lens element 420 with negative refractive power has a convexobject-side surface 421 and a concave image-side surface 422. The secondlens element 420 is made of plastic material and has the object-sidesurface 421 and the image-side surface 422 being aspheric.

The third lens element 430 with positive refractive power has a convexobject-side surface 431 and a concave image-side surface 432. The thirdlens element 430 is made of plastic material and has the object-sidesurface 431 and the image-side surface 432 being aspheric.

The fourth lens element 440 with negative refractive power has a concaveobject-side surface 441 and a convex image-side surface 442. The fourthlens element 440 is made of plastic material and has the object-sidesurface 441 and the image-side surface 442 being aspheric.

The fifth lens element 450 with positive refractive power has a convexobject-side surface 451 and a convex image-side surface 452. The fifthlens element 450 is made of plastic material and has the object-sidesurface 451 and the image-side surface 452 being aspheric.

The sixth lens element 460 with negative refractive power has a convexobject-side surface 461 and a concave image-side surface 462. The sixthlens element 460 is made of plastic material and has the object-sidesurface 461 and the image-side surface 462 being aspheric. Furthermore,the image-side surface 462 of the sixth lens element 460 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 480 is made of glass, and located between the sixthlens element 460 and the image plane 470, and will not affect the focallength of the optical image system.

The detailed optical data of the 4th embodiment are shown in Table 7 andthe aspheric surface data are shown in Table 8 below.

TABLE 7 4th Embodiment f = 3.36 mm, Fno = 2.40, HFOV = 39.5 deg.Curvature Focal Surface # Radius Thickness Material Index Abbe # length0 Object Plano Infinity 1 Ape. Stop Plano −0.104 2 Lens 1 1.933 (ASP)0.426 Plastic 1.544 55.9 6.08 3 4.287 (ASP) 0.100 4 Lens 2 3.602 (ASP)0.234 Plastic 1.633 23.4 −10.52 5 2.278 (ASP) 0.162 6 Lens 3 2.206 (ASP)0.391 Plastic 1.544 55.9 4.34 7 31.367 (ASP)  0.414 8 Lens 4 −0.872(ASP)   0.232 Plastic 1.633 23.4 −4.59 9 −1.375 (ASP)   0.050 10 Lens 510.910 (ASP)  0.687 Plastic 1.544 55.9 1.54 11 −0.884 (ASP)   0.191 12Lens 6 4.600 (ASP) 0.276 Plastic 1.544 55.9 −1.71 13 0.757 (ASP) 0.70014 IR-cut filter Plano 0.200 Glass 1.517 64.2 — 15 Plano 0.544 16 ImagePlano — Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 8 Aspheric Coefficients Surface # 2 3 4 5 6 7 k = −2.9921E+00−8.2573E+00 −1.9116E+01 −5.7747E+00 −2.6741E+00 −1.0000E+00 A4 =5.2627E−03 −8.1698E−02 −2.1639E−01 −2.6578E−01 −1.6983E−01 −1.2392E−02A6 = 3.2472E−01 −1.5394E−01 4.7170E−01 3.8804E−01 −4.8016E−02−1.8238E−01 A8 = −1.3632E+00 3.9719E−01 −1.2244E+00 −3.1728E−011.1718E−01 3.8981E−02 A10 = 1.3266E+00 −1.2773E+00 1.1559E+00 8.4893E−02−1.2437E−01 8.0491E−03 A12 = 2.0282E+00 6.6948E−01 1.4439E−02−2.7697E−01 −1.1046E−01 2.9757E−02 A14 = −3.6199E+00 −3.4242E−01−1.9141E+00 1.1117E−01 1.2588E−01 2.1626E−03 Surface # 8 9 10 11 12 13 k= −1.5955E+00 −2.4668E+00 −3.0000E+01 −5.2769E+00 −1.0907E+01−5.3360E+00 A4 = 3.6797E−01 1.2521E−01 −1.4944E−01 −5.8222E−02−1.2983E−01 −8.5930E−02 A6 = −8.6085E−01 −2.7396E−01 1.7878E−011.9466E−03 3.5852E−02 2.5299E−02 A8 = 1.1386E+00 3.3339E−01 −9.5473E−021.0837E−01 −5.9786E−03 −6.3028E−03 A10 = −9.2466E−01 −2.4179E−011.4553E−02 −8.5163E−02 5.3077E−04 1.0548E−03 A12 = 5.9783E−01 1.2969E−011.1462E−03 2.5813E−02 1.8975E−04 −1.3106E−04 A14 = −2.0243E−01−3.2535E−02 −4.5306E−04 −2.9818E−03 −4.8984E−05 8.7158E−06

In the optical image system according to the 4th embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ΣCT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 4th embodiment. Moreover, these parameterscan be calculated from Table 7 and Table 8 as the following values andsatisfy the following relationships:

f (mm) 3.36 R7/f −0.26 Fno 2.40 f/f1 + |f/f2| 0.87 HFOV (deg.) 39.5f/f3 + |f/f4| 1.51 V5/V4 2.39 f3/f1 0.71 Σ CT/TD 0.71 TTL/ImgH 1.60

5th Embodiment

FIG. 9 is a schematic view of an optical image system according to the5th embodiment of the present disclosure. FIG. 10 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 5th embodiment. In FIG. 9, theoptical image system includes, in order from an object side to an imageside, a first lens element 510, an aperture stop 500, a second lenselement 520, a third lens element 530, a fourth lens element 540, afifth lens element 550, a sixth lens element 560, an IR-cut filter 580,an image plane 570 and an image sensor 590.

The first lens element 510 with positive refractive power has a convexobject-side surface 511 and a concave image-side surface 512. The firstlens element 510 is made of plastic material and has the object-sidesurface 511 and the image-side surface 512 being aspheric.

The second lens element 520 with negative refractive power has a convexobject-side surface 521 and a concave image-side surface 522. The secondlens element 520 is made of plastic material and has the object-sidesurface 521 and the image-side surface 522 being aspheric.

The third lens element 530 with positive refractive power has a convexobject-side surface 531 and a convex image-side surface 532. The thirdlens element 530 is made of plastic material and has the object-sidesurface 531 and the image-side surface 532 being aspheric.

The fourth lens element 540 with negative refractive power has a concaveobject-side surface 541 and a convex image-side surface 542. The fourthlens element 540 is made of plastic material and has the object-sidesurface 541 and the image-side surface 542 being aspheric.

The fifth lens element 550 with positive refractive power has a convexobject-side surface 551 and a convex image-side surface 552. The fifthlens element 550 is made of plastic material and has the object-sidesurface 551 and the image-side surface 552 being aspheric.

The sixth lens element 560 with negative refractive power has a convexobject-side surface 561 and a concave image-side surface 562. The sixthlens element 560 is made of plastic material and has the object-sidesurface 561 and the image-side surface 562 being aspheric. Furthermore,the image-side surface 562 of the sixth lens element 560 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 580 is made of glass, and located between the sixthlens element 560 and the image plane 570, and will not affect the focallength of the optical image system.

The detailed optical data of the 5th embodiment are shown in Table 9 andthe aspheric surface data are shown in Table 10 below.

TABLE 9 5th Embodiment f = 2.83 mm, Fno = 2.32, HFOV = 43.0 deg.Curvature Focal Surface # Radius Thickness Material Index Abbe # length0 Object Plano Infinity 1 Lens 1 1.997 (ASP) 0.402 Plastic 1.544 55.96.60 2 4.184 (ASP) 0.082 3 Ape. Stop Plano 0.032 4 Lens 2 3.671 (ASP)0.240 Plastic 1.640 23.3 −16.99 5 2.674 (ASP) 0.143 6 Lens 3 4.319 (ASP)0.588 Plastic 1.544 55.9 3.49 7 −3.222 (ASP)   0.332 8 Lens 4 −0.782(ASP)   0.240 Plastic 1.640 23.3 −2.86 9 −1.531 (ASP)   0.050 10 Lens 53.200 (ASP) 0.924 Plastic 1.544 55.9 1.28 11 −0.799 (ASP)   0.124 12Lens 6 3.726 (ASP) 0.350 Plastic 1.544 55.9 −1.38 13 0.603 (ASP) 0.70014 IR-cut filter Plano 0.200 Glass 1.517 64.2 — 15 Plano 0.141 16 ImagePlano — Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 10 Aspheric Coefficients Surface # 1 2 4 5 6 7 k = −1.5773E+00−3.1540E+00 −1.0000E+00 −1.0000E+00 −1.5363E+01 2.9818E+00 A4 =1.9118E−02 −1.1098E−02 −2.8111E−01 −3.3544E−01 −1.5588E−01 −7.9314E−02A6 = 2.6043E−01 3.4045E−02 4.8158E−01 3.9896E−01 4.6843E−02 −1.2746E−01A8 = −5.7266E−01 4.4670E−01 −1.0480E+00 −3.5568E−01 4.4076E−021.7528E−02 A10 = 2.6291E−01 −1.8677E+00 2.6168E−01 −6.6087E−01−2.4826E−01 −2.4544E−02 A12 = 9.5445E−01 6.6948E−01 1.4432E−026.9966E−01 −1.0910E−01 −2.7702E−03 A14 = −1.1810E+00 −3.4243E−01−1.9141E+00 1.1117E−01 2.0917E−01 −2.0349E−02 Surface # 8 9 10 11 12 13k = −1.2769E+00 −2.0363E+00 2.4292E−01 −5.0816E+00 −2.8514E+01−4.4447E+00 A4 = 3.1356E−01 1.0821E−01 −1.6450E−01 −4.0682E−02−1.4083E−01 −7.2183E−02 A6 = −9.0072E−01 −2.8896E−01 1.5187E−01−1.7131E−02 3.6818E−02 2.2965E−02 A8 = 1.1181E+00 3.2585E−01 −9.4156E−021.0176E−01 −6.0922E−03 −6.3101E−03 A10 = −9.3951E−01 −2.4273E−011.5424E−02 −8.6303E−02 5.6540E−04 1.1306E−03 A12 = 5.9864E−01 1.3237E−016.1608E−04 2.6141E−02 1.8511E−04 −1.2302E−04 A14 = −1.7233E−01−3.1313E−02 −2.8302E−04 −2.5048E−03 −3.5519E−05 5.9751E−06

In the optical image system according to the 5th embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ACT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 5th embodiment. Moreover, these parameterscan be calculated from Table 9 and Table 10 as the following values andsatisfy the following relationships:

f (mm) 2.83 R7/f −0.28 Fno 2.32 f/f1 + |f/f2| 0.60 HFOV (deg.) 43.0f/f3 + |f/f4| 1.80 V5/V4 2.40 f3/f1 0.53 Σ CT/TD 0.78 TTL/ImgH 1.66

6th Embodiment

FIG. 11 is a schematic view of an optical image system according to the6th embodiment of the present disclosure. FIG. 12 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 6th embodiment. In FIG. 11, theoptical image system includes, in order from an object side to an imageside, an aperture stop 600, a first lens element 610, a second lenselement 620, a third lens element 630, a fourth lens element 640, afifth lens element 650, a sixth lens element 660, an IR-cut filter 680,a cover glass 681, an image plane 670 and an image sensor 690.

The first lens element 610 with positive refractive power has a convexobject-side surface 611 and a concave image-side surface 612. The firstlens element 610 is made of glass material and has the object-sidesurface 611 and the image-side surface 612 being aspheric.

The second lens element 620 with negative refractive power has a convexobject-side surface 621 and a concave image-side surface 622. The secondlens element 620 is made of plastic material and has the object-sidesurface 621 and the image-side surface 622 being aspheric.

The third lens element 630 with positive refractive power has a convexobject-side surface 631 and a convex image-side surface 632. The thirdlens element 630 is made of plastic material and has the object-sidesurface 631 and the image-side surface 632 being aspheric.

The fourth lens element 640 with negative refractive power has a concaveobject-side surface 641 and a convex image-side surface 642. The fourthlens element 640 is made of plastic material and has the object-sidesurface 641 and the image-side surface 642 being aspheric.

The fifth lens element 650 with positive refractive power has a convexobject-side surface 651 and a convex image-side surface 652. The fifthlens element 650 is made of plastic material and has the object-sidesurface 651 and the image-side surface 652 being aspheric.

The sixth lens element 660 with negative refractive power has a convexobject-side surface 661 and a concave image-side surface 662. The sixthlens element 660 is made of plastic material and has the object-sidesurface 661 and the image-side surface 662 being aspheric. Furthermore,the image-side surface 662 of the sixth lens element 660 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 680 is made of glass, and located between the sixthlens element 660 and the image plane 670. The cover glass 681 is locatedbetween the IR-cut filter 680 and the image plane 670. The IR-cut filter680 and the cover glass 681 will not affect the focal length of theoptical image system.

The detailed optical data of the 6th embodiment are shown in Table 11and the aspheric surface data are shown in Table 12 below.

TABLE 11 6th Embodiment f = 3.14 mm, Fno = 2.25, HFOV = 41.4 deg.Curvature Focal Surface # Radius Thickness Material Index Abbe # length0 Object Plano Infinity 1 Ape. Stop Plano −0.074 2 Lens 1 2.306 (ASP)0.421 Glass 1.592 68.4 4.93 3 10.256 (ASP)  0.100 4 Lens 2 9.118 (ASP)0.213 Plastic 1.640 23.3 −17.36 5 4.961 (ASP) 0.168 6 Lens 3 3.789 (ASP)0.494 Plastic 1.544 55.9 5.29 7 −11.438 (ASP)    0.320 8 Lens 4 −0.789(ASP)   0.211 Plastic 1.640 23.3 −3.29 9 −1.394 (ASP)   0.065 10 Lens 54.941 (ASP) 0.806 Plastic 1.544 55.9 1.63 11 −1.022 (ASP)   0.086 12Lens 6 2.508 (ASP) 0.427 Plastic 1.535 56.3 −2.07 13 0.723 (ASP) 0.50014 IR-cut filter Plano 0.200 Glass 1.517 64.2 — 15 Plano 0.200 16 Coverglass Plano 0.200 Glass 1.517 64.2 — 17 Plano 0.274 18 Image Plano —Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 12 Aspheric Coefficients Surface # 2 3 4 5 6 7 k = −3.5040E+006.1588E−01 −1.0000E+00 −1.0000E+00 −1.3472E+01 1.0000E+00 A4 =−5.7619E−03 −4.9819E−02 −1.5825E−01 −2.6246E−01 −1.9123E−01 −4.2720E−02A6 = 2.4900E−01 −3.4447E−02 5.4310E−01 3.7353E−01 −2.6620E−02−1.7326E−01 A8 = −1.1440E+00 3.7188E−01 −1.1755E+00 −2.8159E−019.5638E−02 4.1009E−02 A10 = 1.1570E+00 −1.2682E+00 1.1051E+00 4.3100E−03−1.4145E−01 −5.3248E−03 A12 = 2.0282E+00 6.6948E−01 1.4439E−02−2.7815E−01 −1.1048E−01 3.2409E−03 A14 = −3.6199E+00 −3.4242E−01−1.9141E+00 1.1117E−01 1.2588E−01 2.3096E−03 Surface # 8 9 10 11 12 13 k= −1.7280E+00 −3.1098E+00 5.8130E−01 −5.5425E+00 −2.4635E+01 −4.5089E+00A4 = 3.5773E−01 1.3623E−01 −1.6078E−01 −7.2622E−02 −1.3570E−01−8.0109E−02 A6 = −8.8051E−01 −2.7263E−01 1.6178E−01 −8.8509E−033.4682E−02 2.4470E−02 A8 = 1.1299E+00 3.3128E−01 −9.4729E−02 1.0505E−01−5.8503E−03 −6.2542E−03 A10 = −9.2787E−01 −2.4293E−01 1.4923E−02−8.5653E−02 6.7790E−04 1.1022E−03 A12 = 5.9347E−01 1.2987E−01 9.6506E−042.6145E−02 2.1275E−04 −1.2116E−04 A14 = −1.9935E−01 −3.2818E−02−1.9584E−04 −2.6385E−03 −4.7343E−05 6.0335E−06

In the optical image system according to the 6th embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ΣCT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 6th embodiment. Moreover, these parameterscan be calculated from Table 11 and Table 12 as the following values andsatisfy the following relationships:

f (mm) 3.14 R7/f −0.25 Fno 2.25 f/f1 + |f/f2| 0.82 HFOV (deg.) 41.4f/f3 + |f/f4| 1.55 V5/V4 2.40 f3/f1 1.07 Σ CT/TD 0.78 TTL/ImgH 1.61

7th Embodiment

FIG. 13 is a schematic view of an optical image system according to the7th embodiment of the present disclosure. FIG. 14 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 7th embodiment. In FIG. 13, theoptical image system includes, in order from an object side to an mageside, an aperture stop 700, a first lens element 710, a second lenselement 720, a third lens element 730, a fourth lens element 740, afifth lens element 750, a sixth lens element 760, an IR-cut filter 780,an image plane 770 and an image sensor 790.

The first lens element 710 with positive refractive power has a convexobject-side surface 711 and a concave image-side surface 712. The firstlens element 710 is made of plastic material and has the object-sidesurface 711 and the image-side surface 712 being aspheric.

The second lens element 720 with negative refractive power has a convexobject-side surface 721 and a concave image-side surface 722. The secondlens element 720 is made of plastic material and has the object-sidesurface 721 and the image-side surface 722 being aspheric.

The third lens element 730 with positive refractive power has a convexobject-side surface 731 and a convex image-side surface 732. The thirdlens element 730 is made of plastic material and has the object-sidesurface 731 and the image-side surface 732 being aspheric.

The fourth lens element 740 with negative refractive power has a concaveobject-side surface 741 and a convex image-side surface 742. The fourthlens element 740 is made of plastic material and has the object-sidesurface 741 and the image-side surface 742 being aspheric.

The fifth lens element 750 with positive refractive power has a concaveobject-side surface 751 and a convex image-side surface 752. The fifthlens element 750 is made of plastic material and has the object-sidesurface 751 and the image-side surface 752 being aspheric.

The sixth lens element 760 with negative refractive power has a convexobject-side surface 761 and a concave image-side surface 762. The sixthlens element 760 is made of plastic material and has the object-sidesurface 761 and the image-side surface 762 being aspheric. Furthermore,the image-side surface 762 of the sixth lens element 760 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 780 is made of glass, and located between the sixthlens element 760 and the image plane 770, and will not affect the focallength of the optical image system.

The detailed optical data of the 7th embodiment are shown in Table 13and the aspheric surface data are shown in Table 14 below.

TABLE 13 7th Embodiment f = 3.13 mm, Fno = 2.40, HFOV = 41.1 deg.Curvature Focal Surface # Radius Thickness Material Index Abbe # length0 Object Plano Infinity 1 Ape. Stop Plano −0.086 2 Lens 1 1.831 (ASP)0.384 Plastic 1.544 55.9 6.17 3 3.732 (ASP) 0.145 4 Lens 2 2.642 (ASP)0.232 Plastic 1.633 23.4 −9.29 5 1.760 (ASP) 0.132 6 Lens 3 2.434 (ASP)0.468 Plastic 1.544 55.9 3.51 7 −8.297 (ASP)   0.354 8 Lens 4 −0.811(ASP)   0.232 Plastic 1.633 23.4 −4.40 9 −1.271 (ASP)   0.050 10 Lens 5−36.324 (ASP)    0.631 Plastic 1.544 55.9 1.45 11 −0.774 (ASP)   0.10312 Lens 6 2.886 (ASP) 0.335 Plastic 1.544 55.9 −1.60 13 0.641 (ASP)0.700 14 IR-cut filter Plano 0.200 Glass 1.517 64.2 — 15 Plano 0.486 16Image Plano — Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 14 Aspheric Coefficients Surface # 2 3 4 5 6 7 k = −2.8265E+00−4.0482E+00 −1.6088E+01 −5.7897E+00 −1.6237E+00 −1.0000E+00 A4 =8.6803E−03 −7.5541E−02 −2.1967E−01 −2.5963E−01 −1.6535E−01 4.2732E−03 A6= 3.4519E−01 −1.3257E−01 4.7331E−01 3.8748E−01 −6.3021E−02 −1.8577E−01A8 = −1.3180E+00 4.3824E−01 −1.1747E+00 −3.2281E−01 1.1788E−012.9815E−02 A10 = 1.1984E+00 −1.2998E+00 1.1553E+00 1.0281E−01−1.1359E−01 5.0406E−03 A12 = 2.0282E+00 6.6948E−01 1.4310E−02−2.7697E−01 −1.1044E−01 2.8787E−02 A14 = −3.6199E+00 −3.4242E−01−1.9141E+00 1.1116E−01 1.2591E−01 2.7177E−03 Surlace # 8 9 10 11 12 13 k= −1.5693E+00 −2.3513E+00 −2.0000E+01 −4.7773E+00 −4.7432E+00−4.9064E+00 A4 = 3.7123E−01 1.2315E−01 −1.3859E−01 −5.6386E−02−1.2300E−01 −7.5427E−02 A6 = −8.5438E−01 −2.7490E−01 1.7149E−013.7777E−03 3.4050E−02 2.2913E−02 A8 = 1.1430E+00 3.3235E−01 −9.8879E−021.0819E−01 −6.3240E−03 −6.2205E−03 A10 = −9.2415E−01 −2.4204E−011.4634E−02 −8.5354E−02 4.5304E−04 1.0703E−03 A12 = 5.9624E−01 1.3039E−011.5814E−03 2.5726E−02 1.9031E−04 −1.2687E−04 A14 = −2.0661E−01−3.1864E−02 −2.8098E−04 −2.9866E−03 −4.0440E−05 7.6515E−06

In the optical image system according to the 7th embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ΣCT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 7th embodiment. Moreover, these parameterscan be calculated from Table 13 and Table 14 as the following values andsatisfy the following relationships:

f (mm) 3.13 R7/f −0.26 Fno 2.40 f/f1 + |f/f2| 0.85 HFOV (deg.) 41.1f/f3 + |f/f4| 1.60 V5/V4 2.39 f3/f1 0.57 Σ CT/TD 0.74 TTL/ImgH 1.57

8th Embodiment

FIG. 15 is a schematic view of an optical image system according to the8th embodiment of the present disclosure. FIG. 16 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 8th embodiment. In FIG. 15, theoptical image system includes, in order from an object side to an imageside, a first lens element 810, an aperture stop 800, a second lenselement 820, a third lens element 830, a fourth lens element 840, afifth lens element 850, a sixth lens element 860, an IR-cut filter 880,an image plane 870 and an image sensor 890.

The first lens element 810 with positive refractive power has a convexobject-side surface 811 and a concave image-side surface 812. The firstlens element 810 is made of plastic material and has the object-sidesurface 811 and the image-side surface 812 being aspheric.

The second lens element 820 with negative refractive power has a convexobject-side surface 821 and a concave image-side surface 822. The secondlens element 820 is made of plastic material and has the object-sidesurface 821 and the image-side surface 822 being aspheric.

The third lens element 830 with positive refractive power has a convexobject-side surface 831 and a convex image-side surface 832. The thirdlens element 830 is made of plastic material and has the object-sidesurface 831 and the image-side surface 832 being aspheric.

The fourth lens element 840 with negative refractive power has a concaveobject-side surface 841 and a convex image-side surface 842. The fourthlens element 840 is made of plastic material and has the object-sidesurface 841 and the image-side surface 842 being aspheric.

The fifth lens element 850 with positive refractive power has a convexobject-side surface 851 and a convex image-side surface 852. The fifthlens element 850 is made of plastic material and has the object-sidesurface 851 and the image-side surface 852 being aspheric.

The sixth lens element 860 with negative refractive power has a concaveobject-side surface 861 and a concave image-side surface 862. The sixthlens element 860 is made of plastic material and has the object-sidesurface 861 and the image-side surface 862 being aspheric. Furthermore,the image-side surface 862 of the sixth lens element 860 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 880 is made of glass, and located between the sixthlens element 860 and the image plane 870, and will not affect the focallength of the optical image system.

The detailed optical data of the 8th embodiment are shown in Table 15and the aspheric surface data are shown in Table 16 below.

TABLE 15 8th Embodiment f = 2.93 mm, Fno = 2.35, HFOV = 42.0 deg.Curvature Focal Surface # Radius Thickness Material Index Abbe # length0 Object Plano Infinity 1 Lens 1 1.935 (ASP) 0.408 Plastic 1.544 55.95.87 2 4.549 (ASP) 0.079 3 Ape. Stop Plano 0.032 4 Lens 2 3.599 (ASP)0.240 Plastic 1.640 23.3 −13.65 5 2.482 (ASP) 0.143 6 Lens 3 4.233 (ASP)0.541 Plastic 1.544 55.9 3.39 7 −3.117 (ASP)   0.359 8 Lens 4 −0.772(ASP)   0.244 Plastic 1.640 23.3 −3.20 9 −1.392 (ASP)   0.050 10 Lens 53.172 (ASP) 0.944 Plastic 1.544 55.9 1.32 11 −0.831 (ASP)   0.134 12Lens 6 −100.000 (ASP)    0.350 Plastic 1.544 55.9 −1.29 13 0.710 (ASP)0.500 14 IR-cut filter Plano 0.300 Glass 1.517 64.2 — 15 Plano 0.212 16Image Plano — Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 16 Aspheric Coefficients Surface # 1 2 4 5 6 7 k = −1.5336E+00−4.6083E+00 −1.0000E+00 −1.0000E+00 −1.5150E+01 2.9331E+00 A4 =1.9520E−02 −1.2550E−02 −2.8065E−01 −3.3730E−01 −1.5631E−01 −8.8692E−02A6 = 2.5589E−01 7.3103E−02 4.7850E−01 4.1201E−01 4.1877E−02 −1.2953E−01A8 = −5.6127E−01 3.2193E−01 −9.4055E−01 −3.4226E−01 3.4525E−021.5957E−02 A10 = 2.5586E−01 −1.6686E+00 9.0758E−02 −7.1483E−01−2.3656E−01 −2.7020E−02 A12 = 9.5445E−01 6.6948E−01 1.4432E−026.9966E−01 −1.0910E−01 −2.7703E−03 A14 = −1.1810E+00 −3.4243E−01−1.9141E+00 1.1117E−01 2.0917E−01 −2.0349E−02 Surface # 8 9 10 11 12 13k = −1.2683E+00 −2.1661E+00 −2.3974E−01 −5.1472E+00 1.0000E+00−5.6737E+00 A4 = 3.1178E−01 1.0863E−01 −1.6680E−01 −4.0952E−02−1.4364E−01 −6.7809E−02 A6 = −9.0290E− −2.9035E−01 1.5292E−01−1.7583E−02 3.7535E−02 2.1287E−02 A8 = 1.1143E+00 3.2520E−01 −9.4849E−021.0138E−01 −5.9256E−03 −6.2916E−03 A10 = −9.4017E−01 −2.4287E−011.4866E−02 −8.6289E−02 5.9978E−04 1.1497E−03 A12 = 6.0474E−01 1.3275E−013.2152E−04 2.6164E−02 1.9036E−04 −1.2007E−04 A14 = −1.7233E−01−3.0624E−02 −3.6862E−04 −2.4934E−03 −3.5082E−05 5.1067E−06

In the optical image system according to the 8th embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ΣCT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 8th embodiment. Moreover, these parameterscan be calculated from Table 15 and Table 16 as the following values andsatisfy the following relationships:

f (mm) 2.93 R7/f −0.26 Fno 2.35 f/f1 + |f/f2| 0.72 HFOV (deg.) 42.0f/f3 + |f/f4| 1.78 V5/V4 2.40 f3/f1 0.58 Σ CT/TD 0.77 TTL/ImgH 1.64

9th Embodiment

FIG. 17 is a schematic view of an optical image system according to the9th embodiment of the present disclosure. FIG. 18 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 9th embodiment. In FIG. 17, theoptical image system includes, in order from an object side to an imageside, an aperture stop 900, a first lens element 910, a second lenselement 920, a third lens element 930, a fourth lens element 940, afifth lens element 950, a sixth lens element 960, an IR-cut filter 980,an image plane 970 and an image sensor 990.

The first lens element 910 with positive refractive power has a convexobject-side surface 911 and a concave image-side surface 912. The firstlens element 910 is made of plastic material and has the object-sidesurface 911 and the image-side surface 912 being aspheric.

The second lens element 920 with negative refractive power has a convexobject-side surface 921 and a concave image-side surface 922. The secondlens element 920 is made of plastic material and has the object-sidesurface 921 and the image-side surface 922 being aspheric.

The third lens element 930 with positive refractive power has a convexobject-side surface 931 and a convex image-side surface 932. The thirdlens element 930 is made of plastic material and has the object-sidesurface 931 and the image-side surface 932 being aspheric.

The fourth lens element 940 with negative refractive power has a concaveobject-side surface 941 and a convex image-side surface 942. The fourthlens element 940 is made of plastic material and has the object-sidesurface 941 and the image-side surface 942 being aspheric.

The fifth lens element 950 with positive refractive power has a convexobject-side surface 951 and a convex image-side surface 952. The fifthlens element 950 is made of plastic material and has the object-sidesurface 951 and the image-side surface 952 being aspheric.

The sixth lens element 960 with negative refractive power has a convexobject-side surface 961 and a concave image-side surface 962. The sixthlens element 960 is made of plastic material and has the object-sidesurface 961 and the image-side surface 962 being aspheric. Furthermore,the image-side surface 962 of the sixth lens element 960 changes fromconcave at the paraxial region to convex at the peripheral region.

The IR-cut filter 980 is made of glass, and located between the sixthlens element 960 and the image plane 970, and will not affect the focallength of the optical image system.

The detailed optical data of the 9th embodiment are shown in Table 17and the aspheric surface data are shown in Table 18 below.

TABLE 17 9th Embodiment f = 2.88 mm, Fno = 2.55, HFOV = 44.1 deg.Curvature Focal Surface # Radius Thickness Material Index Abbe # length0 Object Plano Infinity 1 Ape. Stop Plano −0.072 2 Lens 1 1.972 (ASP)0.321 Plastic 1.544 55.9 12.56 3 2.613 (ASP) 0.083 4 Lens 2 1.683 (ASP)0.240 Plastic 1.640 23.3 −38.71 5 1.489 (ASP) 0.147 6 Lens 3 2.576 (ASP)0.570 Plastic 1.544 55.9 2.60 7 −2.890 (ASP)   0.264 8 Lens 4 −0.563(ASP)   0.251 Plastic 1.640 23.3 −2.55 9 −1.010 (ASP)   0.074 10 Lens 55.018 (ASP) 0.592 Plastic 1.544 55.9 1.73 11 −1.111 (ASP)   0.051 12Lens 6 1.614 (ASP) 0.404 Plastic 1.544 55.9 −2.62 13 0.690 (ASP) 0.50014 IR-cut filter Plano 0.300 Glass 1.517 64.2 — 15 Plano 0.603 16 ImagePlano — Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 18 Aspheric Coefficients Surface # 2 3 4 5 6 7 k = 1.2632E+00−4.3821E+00 −6.5892E+00 −7.3546E+00 6.7839E−01 −2.4213E+01 A4 =1.0030E−02 −1.6068E−01 −3.0915E−01 −1.8133E−01 −1.3561E−01 −2.2254E−02A6 = 5.5650E−02 5.0197E−01 6.0909E−01 2.9666E−01 −2.5469E−02 −1.7086E−01A8 = −2.0173E−01 −7.8514E−01 −9.8510E−01 −4.2285E−01 6.9927E−023.7067E−02 A10 = −1.3435E−01 −6.1660E−01 −5.4400E−04 5.5311E−02−1.2884E−01 −8.9276E−03 A12 = 2.0282E+00 6.6948E−01 1.4441E−02−2.9656E−01 −1.6712E−01 −1.1985E−02 A14 = −3.6199E+00 −3.4242E−01−1.9141E+00 1.2347E−01 2.1664E−02 2.0987E−02 Surface # 8 9 10 11 12 13 k= −2.1084E+00 −3.0711E+00 −1.2514E+01 −7.2227E+00 −1.0081E+01−4.5423E+00 A4 = 3.7856E−01 1.5794E−01 −1.7171E−01 −4.3556E−02−1.1032E−01 −8.5894E−02 A6 = −8.5940E−01 −2.6359E−01 1.8647E−015.5584E−03 3.2450E−02 2.6588E−02 A8 = 1.1553E+00 3.3387E−01 −9.1500E−021.0479E−01 −5.7854E−03 −6.6392E−03 A10 = −9.1154E−01 −2.3983E−011.1940E−02 −8.6325E−02 3.9699E−04 1.0344E−03 A12 = 5.9648E−01 1.3231E−016.4114E−04 2.5952E−02 1.2193E−04 −1.3833E−04 A14 = −2.2241E−01−3.6715E−02 −1.4724E−04 −2.7761E−03 −1.8914E−05 1.1328E−05

In the optical image system according to the 9th embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ΣCT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 9th embodiment. Moreover, these parameterscan be calculated from Table 17 and Table 18 as the following values andsatisfy the following relationships:

f (mm) 2.88 R7/f −0.20 Fno 2.55 f/f1 + |f/f2| 0.30 HFOV (deg.) 44.1f/f3 + |f/f4| 2.23 V5/V4 2.40 f3/f1 0.21 Σ CT/TD 0.79 TTL/ImgH 1.52

10th Embodiment

FIG. 19 is a schematic view of an optical image system according to the10th embodiment of the present disclosure. FIG. 20 shows sphericalaberration curves, astigmatic field curves and a distortion curve of theoptical image system according to the 10th embodiment. In FIG. 19, theoptical image system includes, in order from an object side to an imageside, an aperture stop 1000, a first lens element 1010, a second lenselement 1020, a third lens element 1030, a fourth lens element 1040, afifth lens element 1050, a sixth lens element 1060, an IR-cut filter1080, a cover glass 1081 an image plane 1070 and an image sensor 1090.

The first lens element 1010 with positive refractive power has a convexobject-side surface 1011 and a concave image-side surface 1012. Thefirst lens element 1010 is made of glass material and has theobject-side surface 1011 and the image-side surface 1012 being aspheric.

The second lens element 1020 with negative refractive power has a convexobject-side surface 1021 and a concave image-side surface 1022. Thesecond lens element 1020 is made of plastic material and has theobject-side surface 1021 and the image-side surface 1022 being aspheric.

The third lens element 1030 with positive refractive power has a convexobject-side surface 1031 and a convex image-side surface 1032. The thirdlens element 1030 is made of plastic material and has the object-sidesurface 1031 and the mage-side surface 1032 being aspheric.

The fourth lens element 1040 with negative refractive power has aconcave object-side surface 1041 and a convex image-side surface 1042.The fourth lens element 1040 is made of plastic material and has theobject-side surface 1041 and the image-side surface 1042 being aspheric.

The fifth lens element 1050 with positive refractive power has a convexobject-side surface 1051 and a convex image-side surface 1052. The fifthlens element 1050 is made of plastic material and has the object-sidesurface 1051 and the image-side surface 1052 being aspheric.

The sixth lens element 1060 with negative refractive power has a convexobject-side surface 1061 and a concave image-side surface 1062. Thesixth lens element 1060 is made of plastic material and has theobject-side surface 1061 and the image-side surface 1062 being aspheric.Furthermore, the image-side surface 1062 of the sixth lens element 1060changes from concave at the paraxial region to convex at the peripheralregion.

The IR-cut filter 1080 is made of glass, and located between the sixthlens element 1060 and the image plane 1070. The cover glass 1081 islocated between the IR-cut filter 1080 and the image plane 1070. TheIR-cut filter 1080 and the cover glass 1081 will not affect the focallength of the optical image system.

The detailed optical data of the 10th embodiment are shown in Table 19and the aspheric surface data are shown in Table 20 below.

TABLE 19 10th Embodiment f = 3.17 mm, Fno = 2.35, HFOV = 41.1 deg.Curvature Focal Surface # Radius Thickness Material Index Abbe # length0 Object Plano Infinity 1 Ape. Stop Plano −0.074 2 Lens 1 2.213 (ASP)0.446 Glass 1.592 68.4 4.10 3 22.980 (ASP)  0.102 4 Lens 2 21.427 (ASP) 0.211 Plastic 1.640 23.3 −10.83 5 5.214 (ASP) 0.169 6 Lens 3 3.675 (ASP)0.460 Plastic 1.544 55.9 5.91 7 −24.449 (ASP)    0.341 8 Lens 4 −0.851(ASP)   0.210 Plastic 1.640 23.3 −3.59 9 −1.484 (ASP)   0.050 10 Lens 55.831 (ASP) 0.784 Plastic 1.544 55.9 1.62 11 −0.986 (ASP)   0.089 12Lens 6 2.769 (ASP) 0.427 Plastic 1.535 56.3 −1.94 13 0.714 (ASP) 0.50014 IR-cut filter Plano 0.200 Glass 1.517 64.2 — 15 Plano 0.200 16 Coverglass Plano 0.200 Glass 1.517 64.2 — 17 Plano 0.230 18 Image Plano —Note: Reference wavelength (d-line) is 587.6 nm.

TABLE 20 Aspheric Coefficients Surface # 2 3 4 5 6 7 k = −3.4853E+001.0000E+00 −1.0000E+00 −1.0000E+00 −1.5765E+01 1.0000E+00 A4 =−4.9313E−03 −4.8992E−02 −1.5686E−01 −2.6283E−01 −1.9495E−01 −4.3621E−02A6 = 2.5854E−01 −3.5328E−02 5.4703E−01 3.7025E−01 −3.0758E−02−1.7021E−01 A8 = −1.1337E+00 3.7721E−01 −1.1783E+00 −2.8678E−019.4516E−02 4.4012E−02 A10 = 1.1155E+00 −1.2611E+00 1.0907E+00−4.0089E−03 −1.3927E−01 −3.7349E−03 A12 = 2.0282E+00 6.6948E−011.4439E−02 −2.7815E−01 −1.1048E−01 3.3075E−03 A14 = −3.6199E+00−3.4242E−01 −1.9141E+00 1.1117E−01 1.2588E−01 2.3096E−03 Surface # 8 910 11 12 13 k = −1.7609E+00 −2.9553E+00 1.0000E+00 −5.5602E+00−2.9482E+01 −4.6878E+00 A4 = 3.5885E−01 1.3545E−01 −1.5805E−01−7.3743E−02 −1.3670E−01 −7.9511E−02 A6 = −8.8143E−01 −2.7205E−011.6210E−01 −9.0893E−03 3.4528E−02 2.4007E−02 A8 = 1.1285E+00 3.3200E−01−9.5007E−02 1.0503E−01 −5.8880E−03 −6.2868E−03 A10 = −9.2893E−01−2.4243E−01 1.4739E−02 −8.5651E−02 6.6908E−04 1.1006E−03 A12 =5.9303E−01 1.3011E−01 8.9022E−04 2.6146E−02 2.1345E−04 −1.2191E−04 A14 =−1.9935E−01 −3.2696E−02 −2.2411E−04 −2.6353E−03 −4.6476E−05 6.0132E−06

In the optical image system according to the 10th embodiment, thedefinitions of f, Fno, HFOV, V4, V5, ΣCT, TD, R7, f1, f2, f3, f4, TTLand ImgH are the same as those stated in the 1st embodiment withcorresponding values for the 10th embodiment. Moreover, these parameterscan be calculated from Table 19 and Table 20 as the following values andsatisfy the following relationships:

f (mm) 3.17 R7/f −0.27 Fno 2.35 f/f1 + |f/f2| 1.07 HFOV (deg.) 41.1f/f3 + |f/f4| 1.42 V5/V4 2.40 f3/f1 1.44 Σ CT/TD 0.77 TTL/ImgH 1.58

It will be apparent to those skilled in the art that variousmodifications and variations can be made to the structure of the presentinvention without departing from the scope or spirit of the invention.In view of the foregoing, it is intended that the present inventioncover modifications and variations of this invention provided they fallwithin the scope of the following claims.

What is claimed is:
 1. An optical image system comprising, in order froman object side to an image side: a first lens element with positiverefractive power having a convex object-side surface; second lenselement with refractive power; a third lens element with positiverefractive power having at least one of an object-side surface and animage-side surface being aspheric; a fourth lens element with refractivepower having a concave object-side surface and a convex image-sidesurface, wherein at least one of the object-side surface and theimage-side surface of the fourth lens element is aspheric; a fifth lenselement with positive refractive power having a convex image-sidesurface; and a sixth lens element with negative refractive power havinga concave image-side surface, wherein the sixth lens element is made ofplastic material and has at least one of an object-side surface and theimage-side surface being aspheric, and the image-side surface of thesixth lens element changes from concave at a paraxial region to convexat a peripheral region; wherein a focal length of the optical imagesystem is f, a focal length of the first lens element is f1, a focallength of the second lens element is f2, a focal length of the thirdlens element is f3, and the following relationships are satisfied:0<f/f1+|f/f2|<1.35; and0<f3/f1<2.0.
 2. The optical image system of claim 1, wherein the fourthlens element has negative refractive power.
 3. The optical image systemof claim 2, wherein the focal length of the optical image system is f, acurvature radius of the object-side surface of the fourth lens elementis R7, and the following relationship is satisfied:−2.5<R7/f<0.
 4. The optical image system of claim 2, wherein an Abbenumber of the fourth lens element is V4, an Abbe number of the fifthlens element is V5, and the following relationship is satisfied:1.5<V5/V4<3.0.
 5. The optical image system of claim 2, wherein the focallength of the optical image system is f, the focal length of the thirdlens element is f3, a focal length of the fourth lens element is f4, andthe following relationship is satisfied:1.0<f/f3+|f/f4|<2.7.
 6. The optical image system of claim 2, wherein thefocal length of the first lens element is f1, the focal length of thethird lens element is f3, and the following relationship is satisfied:0<f3/f1<1.6.
 7. The optical image system of claim 2, wherein the focallength of the optical image system is f, a curvature radius of theobject-side surface of the fourth lens element is R7, and the followingrelationship is satisfied:−0.6<R7/f<0.
 8. The optical image system of claim 3, wherein the secondlens element has negative refractive power.
 9. The optical image systemof claim 3, wherein a half of the maximal field of view of the opticalimage system is HFOV, and the following relationship is satisfied:35 degrees<HFOV<0 degrees.
 10. The optical image system of claim 3,wherein a sum of the central thickness from the first through sixth lenselements is ΣCT, an axial distance between the object-side surface ofthe first lens element and the image-side surface of the sixth lenselement is TD, and the following relationship is satisfied:0.62<ΣCT/TD<0.88.
 11. The optical image system of claim 3, wherein anaxial distance between the object-side surface of the first lens elementand an image plane is TTL, a maximum image height of the optical imagesystem is ImgH, and the following relationship is satisfied:TTL/ImgH<2.0.
 12. An optical image system comprising, in order from anobject side to an image side: a first lens element with positiverefractive power having a convex object-side surface; second lenselement with refractive power; a third lens element with positiverefractive power having at least one of an object-side surface and animage-side surface being aspheric; a fourth lens element with negativerefractive power having a concave object-side surface and a conveximage-side surface, wherein at least one of the object-side surface andthe image-side surface of the fourth lens element is aspheric; a fifthlens element with positive refractive power having a convex image-sidesurface; and a sixth lens element with negative refractive power havinga concave image-side surface, wherein the sixth lens element is made ofplastic material and has at least one of an object-side surface and theimage-side surface being aspheric, and the image-side surface of thesixth lens element changes from concave at a paraxial region to convexat a peripheral region; wherein a focal length of the optical imagesystem is f, a focal length of the first lens element is f1, a focallength of the third lens element is f3, a focal length of the fourthlens element is f4, and the following relationships are satisfied:0<f3/f1<2.0; and1.0<f/f3+|f/f4|<2.7.
 13. The optical image system of claim 12, whereinthe focal length of the optical image system is f, a curvature radius ofthe object-side surface of the fourth lens element is R7, and thefollowing relationship is satisfied:−2.5<R7/f<0.
 14. The optical image system of claim 13, wherein the focallength of the optical image system is f, the focal length of the firstlens element is f1, a focal length of the second lens element is f2, andthe following relationship is satisfied:0<f/f1+|f/f2|<1.35.
 15. The optical image system of claim 13, wherein anAbbe number of the fourth lens element is V4, an Abbe number of thefifth lens element is V5, and the following relationship is satisfied:1.5<V5/V4<3.0.
 16. The optical image system of claim 13, wherein thefocal length of the first lens element is f1, the focal length of thethird lens element is f3, and the following relationship is satisfied:0<f3/f1<1.6.
 17. The optical image system of claim 14, wherein an axialdistance between the object-side surface of the first lens element andan image plane is TTL, a maximum image height of the optical imagesystem is ImgH, and the following relationship is satisfied:TTL/ImgH<2.0.
 18. An optical image system comprising, in order from anobject side to an image side: a first lens element with positiverefractive power having a convex object-side surface; a second lenselement with refractive power; a third lens element with positiverefractive power having at least one of an object-side surface and animage-side surface being aspheric; a fourth lens element with refractivepower having a concave object-side surface and a convex image-sidesurface, wherein at least one of the object-side surface and theimage-side surface of the fourth lens element is aspheric; a fifth lenselement with positive refractive power having a convex image-sidesurface; and a sixth lens element with negative refractive power havinga concave image-side surface, wherein the sixth lens element is made ofplastic material and has at least one of an object-side surface and theimage-side surface being aspheric, and the image-side surface of thesixth lens element changes from concave at a paraxial region to convexat a peripheral region; wherein a focal length of the optical imagesystem is f, a focal length of the first lens element is f1, a focallength of the second lens element is f2, a focal length of the thirdlens element is f3, a focal length of the fourth lens element is f4, andthe following relationships are satisfied:0<f/f1+|f/f2|<1.35; and1.0<f/f3+|f/f4|<2.7.
 19. The optical image system of claim 18, whereinthe fourth lens element has negative refractive power.
 20. The opticalimage system of claim 19; wherein the focal length of the optical imagesystem is f, a curvature radius of the object-side surface of the fourthlens element is R7, and the following relationship is satisfied:−2.5<R7/f<0.
 21. The optical image system of claim 19, wherein the focallength of the optical image system is f, a curvature radius of theobject-side surface of the fourth lens element is R7, and the followingrelationship is satisfied:−0.6<R7/f<0.
 22. The optical image system of claim 18, wherein an Abbenumber of the fourth lens element is V4 an Abbe number of the fifth lenselement is V5, and the following relationship is satisfied:1.5<V5/V4<3.0.
 23. The optical image system of claim 18, wherein thefocal length of the first lens element is f1, the focal length of thethird lens element is f3, and the following relationship is satisfied:0<f3/f1<2.0.
 24. The optical image system of claim 18, wherein a sum ofthe central thickness from the first through sixth lens elements is ΣCT,an axial distance between the object-side surface of the first lenselement and the image-side surface of the sixth lens element is TD, andthe following relationship is satisfied:0.62<ΣCT/TD<0.88.
 25. An optical image system comprising, in order froman object side to an image side: a first lens element with positiverefractive power having a convex object-side surface; a second lenselement with refractive power; a third lens element with positiverefractive power having at least one of an object-side surface and animage-side surface being aspheric; a fourth lens element with negativerefractive power having a concave object-side surface and a conveximage-side surface, wherein at least one of the object-side surface andthe image-side surface of the fourth lens element is aspheric; a fifthlens element with positive refractive power having a convex image-sidesurface; and a sixth lens element with negative refractive power havinga concave image-side surface, wherein the sixth lens element is made ofplastic material and has at least one of an object-side surface and theimage-side surface being aspheric, and the image-side surface of thesixth lens element changes from concave at a paraxial region to convexat a peripheral region; wherein a focal length of the first lens elementis f1, a focal length of the third lens element is f3, and the followingrelationship is satisfied:0<f3/f1<2.0.
 26. The optical image system of claim 25, wherein the focallength of the first lens element is f1, the focal length of the thirdlens element is f3, and the following relationship is satisfied:0<f3/f1<1.6.
 27. The optical image system of claim 26, wherein a focallength of the optical image system is f, the focal length of the firstlens element is f1 a focal length of the second lens element is f2, andthe following relationship is satisfied:0<f/f1|f/f2|<1.35.
 28. The optical image system of claim 26, wherein afocal length of the optical image system is f, the focal length of thethird lens element is f3, a focal length of the fourth lens element isf4, and the following relationship is satisfied:1.0<f/f3+|f/f4<2.7.